Parallel meridians: Diffusion and change ... Hague: Walburg, pp.17-42. oceanic reckoning

Transcription

© Copyright 2005 A.R.T. Jonkers
Jonkers, A.R.T., 2005. "Parallel meridians: Diffusion and change in early-modern
oceanic reckoning," in: Noord-Zuid in Oostindisch perspectief, ed. J. Parmentier. The
Hague: Walburg, pp.17-42.
About six score years ago, the International Meridian Conference in Washington D.C. (1884) decided
upon the meridian through the Royal Observatory at Greenwich as the universal reference datum for
designating longitude on Earth.1 Now marked by a brass ledge set in stone on the Observatory grounds,
it provides food for thought to thousands of tourists and school children every year, enabling them to
consciously straddle the divide between the eastern and the western hemisphere. On a more practical
level, the Greenwich meridian pervades the work of many scientists, surveyors, mapmakers, and
mariners alike, offering a world standard in positional information. Regardless of origin, language, or
current location, X degrees of longitude refers to the same place for all concerned (given latitude), be it
printed on an Admiralty Pilot chart or displayed by a handheld GPS receiver.
The implied benefits of a single prime meridian are indeed so obvious that it is easy to forget that
these are proportional to the extent of uniform acceptance. Furthermore, the choice of Greenwich is
rooted in political and maritime history; no physical or astronomical reason exists why the longitude of
this leafy London borough should be favoured over any other. As long as a number of people agree on
any common grid, each position contained therein is uniquely defined. However, when cartographic
knowledge is scarce and incomplete, then strategic, commercial, and other considerations may induce
separate groups to develop and maintain different solutions, either zealously preached, or jealously
guarded. Rewind the tape of time, and that is exactly what one finds in early-modern western Europe, as
French hydrographer Georges Fournier wrote in 1676:
"Le monde estant rond, il n'y auoit pas plus d'occasion de mettre le premier meridien en un lieu
qu'en un autre . . . Ptolemée et les Anciens le mettoient en l'extremité de l'Afrique, dans la Mer
Atlantique, à 20 lieues à l'ouest des Isles Fortunées, d'autant qu'ils ne connoissoient aucune terre
plus occidentale que ces isles . . . Abulfeda celèbre geographe, et tous les Arabes depuis l'ont mis à
8 degrez plus à l'orient que Ptolemée, et l'ont fait passer par les Colomnes de Hercule, Calpé et
Adila au detroit de Gibraltar . . . François Sarzolus Aragonnois la fait passer par la ville de Paris;
plusieurs de present le font passer par Uranibourg, Francfort sur l'Oder, Rome, et Venice. D'autres
l'ont voulu reculer plus à l'ouest."2
Fournier could have added to this list, had he so desired. Other European cities referenced from in the
sixteenth and seventeenth centuries include Bologna, Cracow, Lisbon, Nuremberg, Stettin, Toledo, and
Ulm. Astronomers tended at this time to choose the meridian of their observatory as longitudinal zero, to
facilitate their calculations, for instance, when drafting ephemerides. In such manner, the Alphonsine
Tables (1272, reprinted up to 1641) spread the fame of the meridian of Toledo, whereas tabulated
predictions by Johann Müller (Regiomontanus, 1474-1506) celebrated Nuremberg, David Trost's
(Origanus, 1595-1630) ephemerides supported Frankfort, and Johann Kepler chose Ulm for his
Rudolphine tables (1627). Nevertheless, in the maritime realm, usage of the above landlocked prime
meridians has been quite limited; cartography and navigational practice have been far more influential in
determining which meridian to reckon from.3 Here, several Atlantic islands featured most heavily.
The Canaries (plus Madeira), the Azores (discovered 1427-52), and the Cape Verdes (discovered
1455-61) had much to offer to seagoing nations.4 Volcanic in origin, they provided fertile soil for food
(wheat from the Azores, wine from Madeira), timber (for ship maintenance), and trade (St. Michael
produced the blue dyestuff woad, the Cape Verdes sold salt). From the seventeenth century they also
functioned as entrepôt for textiles, African slaves, sugar from the West Indies, and spices from the East.
From a navigational viewpoint, each group provided sheltered harbours, and spread over a wide area.
Some individual islands (notably Pico, Tenerife, Gran Canaria, St. Antao, and Fogo) also had high
peaks, visible over vast distances. No nearby ship would easily pass them without gaining a positional
fix to correct the dead-reckoning.5
1
In addition, the islands became a springboard for oceanic voyages of exploration and trade
throughout the next three centuries by all European maritime powers, aided by favourable winds and
currents. For some vessels from the East Indies and the Americas, the Azores also provided a welcome
geographical marker while homeward bound. Figure 1 (main chart, right) depicts the position of each
archipelago relative to the Greenwich meridian, while the three smaller insets on the left identify those
islands of particular relevance to this text. All labeled locations have been used in the past as
longitudinal baseline, spanning over fourteen degrees from east to west.6
[FIGURE 1: Charts]
While Ptolemy's prime meridian west of the Canaries experienced a renaissance on some sixteenthcentury European maps,7 oceanic navigation became of age. Quadrennial solar declination tables
combined with quadrant and astrolabe offered a reliable and accurate means of determining latitude;
expedient traverses were found to and beyond the Cape of Good Hope; Magellan's expedition
circumnavigated the globe; the route to the East Indies became codified in numerous roteiros.
Manuscript (and later printed) charts had to be constantly updated in order to keep track of the latest
discoveries. In these exciting times, many alternative Atlantic prime meridians were first put forward,
destined to vie for dominance in the ensuing centuries. Some were promulgated through specific charts
in use at the time, others were borne out of practical seafaring considerations. In analysing these
developments, it is possible to trace distinct patterns of diffusion of nautical knowledge between
countries. Prime meridians can sometimes serve the historian as a marker of the types and origins of the
available information aboard ship, highlighting their evolution and exchange. Over thirteen hundred
early-modern ships' logbooks were studied to find valuable clues pertaining thereto, yielding statistically
robust results. In the context of this book, the significant rôle of the Southern and Northern Netherlands
as agents of dispersion will be examined. It will be shown in the following two sections that beneath the
bewildering array of competing meridians lie only a few guiding principles that have decisively shaped
oceanic reckoning in the age of sail.
The Era of the Agonic Meridian (1500-1650)
In the sixteenth century, very little was known about the Earth's magnetic field. Magnetic declination,
the variable angle between geographic and magnetic north, had been observed in Europe and at sea, and
was increasingly considered a real phenomenon, rather than a measurement error. Sailors had
experienced different magnetic variation (as they called it) during their journeys, and started recording
these values in their journals and sailing directions for future reference. In order to steer a true course,
they had to compensate their headings to counter local northeasting or northwesting of the compass.
Their iron needles, magnetised by lodestone touch, were furthermore thought to point directly towards
the nearest magnetic pole.8 Whether the source of attraction was to be found in the heavens, a strongly
magnetic Arctic island, or deep inside the planet's interior, was still open to substantial debate. The
field's change over time (so-called secular variation) would remain unknown until the 1630s.9
The most common explanation of geomagnetism assumed some form of tilted dipole at work. A
dipole constitutes the simplest possible magnet, with one north and one south pole, most easily pictured
as a bar magnet. Medieval scholars had posited the Earth's field to be due to a dipole aligned with the
planet's rotation axis, but since magnetic and geographic pole would then coincide, magnetic declination
would be zero everywhere. Growing awareness of declination strengthened the conviction that the
dipole apparently stood at some angle to the spin axis. Various postulates tried to define this orientation
precisely, expressed in the (minimum) arc distance between geographical and magnetic pole and the
meridian of the plane of tilt. Magnetic declination would be zero everywhere on this meridian, and on its
direct opposite on the other side of the globe (that is, 180º of longitude distant); the shortest line from
compass to magnetic pole at the surface would there also intersect the geographic pole. Such meridians
2
are called agonic meridians (from the Greek for "no angle"). In the tilted dipole case, the two meridians
formed a single agonic great circle, dividing the globe in a northwesting half and a northeasting half.
Elsewhere on Earth, needle deflection would vary predictably with position. An imaginary traveller
circling the world on a constant latitude would see the difference between true and magnetic north
increase from zero (at the dipole's meridian) to maximum northwesting (near 90º east longitude), then
back to zero (at 180º), then reaching maximum northeasting (near 270º), and back to zero again. The
actual maximum would be dependent on the dipole's tilt and the observer's latitude. In other words, a
tilted dipole would offer a method of deriving ship's longitude from observed latitude and magnetic
declination alone.
The first to commit such a longitude solution to paper was João de Lisboa in 1508. Based on
measured northeasting at Lisbon (one quarter point, or circa 2º49') and zero declination near the eastern
Azores (St. Michael and St. Maria), the Portuguese navigator surmised declination to be always constant
along any given meridian, and that it would alter as a function of longitudinal distance travelled, from
zero at the Azores to a maximum of four compass points (45º) at 90º to east and west of them. This
progression would yield a value of one quarter point at a distance of 62½ leagues east, where Lisbon
was placed. In his Tratado da Agulha de Marear (part of his 1514 Livro de Marinharia) de Lisboa also
provided a table of the number of leagues travelled per degree of change in magnetic declination along
different parallels of latitude (from 0º to 65º).10
Apart from the imagined practical solution to the longitude problem, the scheme's more lasting
impact was due to the inherent conviction that Nature was not oblivious to the mariner's plight after all.
Although no fixed point in the revolving sky had offered itself to suggest any particular choice of zero
longitude, the Earth's magnetic field apparently did contain a "natural" indicator of the preferred
meridian to reckon from. Many sixteenth-century voyagers sailing near the Azores, the Canaries, and the
Cape Verdes had noted the absence of magnetic declination in these waters. At the time, needle
deflection from true north was indeed very low throughout this region, and instrumental accuracy still
left ample scope for improvement. Given the simplistic tilted dipole field description, could this be
Nature's hidden clue as to where the longitudinal origin should lie? The ramifications of erroneously
equating a meridian with an agonic line would have far-reaching consequences for navigation.
While providing false hope of lifting the uncertainty regarding a ship's easting and westing on the
open ocean, the concept actually fuelled extensive confusion, as over the years the constantly changing,
irregular field allowed null measurements to be associated with all three insular groups mentioned.
Since at that time magnetic declination was still considered time-invariant, and recorded observations
were therefore not associated with a specific date, conflicting claims eventually spanned the seas from
Tenerife to Flores. Table 1 conveys some idea of the longevity of the controversy, based on navigation
manuals, scientific tracts, and other texts discussing the various hypotheses.11 It also shows that the idea
caught on in Portugal, Spain, Italy, France, England, and the Low Countries, to which attention will
presently be limited.
[Table 1: Agonic prime meridians 1500-1675]
Around the mid-sixteenth century, the repeated attempts by Flemish cartographer Gerard Mercator
to calculate the north magnetic pole's exact coordinates may serve as a poignant example of Dutch
efforts along these lines. Assuming a single point of magnetic attraction in the Arctic, all great circles
aligned with compass needles anywhere in Europe would coincide at the magnetic pole. Given accurate
coordinates of, and declination at, two places widely distant in longitude, spherical trigonometry could
yield a cross-bearing of the point in question. In a letter of 23 Feb 1547 to his patron Antoon Perrenot de
Granvelle, Mercator related his initial findings, based on observed northeasting in Danzig (14º) and
Walcheren (9º). Remarkably, the placement of the pole (at 79º N, 168º E) he still expressed relative to a
(non-agonic) prime meridian near the Canaries, twelve degrees to east of where the resultant agonic
meridian was supposed to lie. This implied that Mercator's choice of prime meridian was at this time not
yet burdened by geomagnetic concerns. However, in an instruction manual accompanying globes made
3
for Emperor Charles V in 1552, the author did refer to the determination of longitude by magnetic
means.12
Mercator returned to the issue seventeen years later, when he published his famous world map
(1569), drawn on the projection that now bears his name. This time around, he explicitly interpreted the
Atlantic agonic meridian as longitudinal reference. As earlier outlined, increasing traffic in the area had
engendered conflicting reports that situated the zero line in the vicinity of Corvo (Azores) and the Cape
Verde islands, a difference of about seven degrees. Rather than committing himself to either longitude,
the cartographer chose not to choose, calculating instead the intersections of each agonic great circle
with one aligned with magnetic north at Regensburg (Bavaria), where northeasting amounted to 16º44'.
Not surprisingly, this exercise yielded two prospective magnetic poles, marked separately on the map. In
the upper right legend, the cartographer furthermore stated his preliminary confidence in the Cape
Verdes meridian, based on the magnetic observations by French master François de Dieppe. This prime
meridian was later promulgated in the Low Countries by Mercator's son Rumold (world map, 1587),
preacher-cartographer Petrus Plancius (world map, 1592), explorer Willem Barents (posthumous polar
chart, 1598), and cartographers Willem Jansz Blaeu (world map, 1605) and Jodocus Hondius (world
map, 1608).13
But Mercator's biggest champion was probably his compatriot Michiel Coignet. This versatile
instrument maker, teacher of mathematics, and one-time engineer at the Spanish court is chiefly known
for his Nieuwe Onderwijsinghe (1580), a nautical instruction appended to the Dutch translation of Pedro
de Medina's Arte de Navegar (originally 1545, reprinted in Amsterdam in 1589, 1592, and 1598).
Greatly expanded the following year, the book was also published separately in French, in Coignet's
native Antwerp. Besides discussing tides, loxodromes, position finding, and various instruments, it is
notable for its treatment of the longitude problem, and geomagnetic solutions in particular. After
rejecting the opinions of Cortés, de Medina, and Cardano on the subject, Coignet successfully tested
Mercator's postulate by comparing the declination at Antwerp as observed (9º NE) and predicted from
his magnetic pole's position (8º58' NE). He then produced a diagram depicting how declination would
vary along a parallel as a function of longitude. One major oversight was Coignet's attribution of de
Dieppe's null observation to the Azores (St. Maria and St. Michael), although he mentioned the Cape
Verdes (Boavista and Maio) further down the same paragraph.14 Consequently, in later years, it was the
Azores meridian that would travel farthest.
In assessing Coignet's influence on contemporaries, one has to distinguish between the Dutch
appendix and the French book. The former was found in Barents's shelter on Nova Zembla after the
1596-97 wintering. It was furthermore commented on by Dutch navigation experts Haeyen (1600), van
den Brouck (1609), and Robbertsz le Canu (1612). In addition, near verbatim excerpts of Coignet's text
can be found in the first part of W. J. Blaeu's Zeespiegel waggoner (1631), and in navigation manuals by
de Graaf (1658) and Anhaltin (1659). The latter two specifically concern Mercator's agonic prime
meridian.
As far as the French text is concerned, apart from English writers on navigation William Barlowe
(1597) and Edward Wright (1599), who discussed Coignet's nautical hemisphere, William Borough's
Discourse of the Variation of the Compasse (1581, 1585, 1596, 1614) is of interest due to the presented
tilted dipole with agonic prime meridian over the Azores,15 which the author compared to Mercator's
observation at Regensburg (as reported by Coignet). An almost literal translation of the geomagnetic
part of Coignet's Instruction can further be found in the Exercises of mathematician Thomas Blundeville
(in eight editions over the period 1594-1631). The latter's agonic prime meridian once again crossed the
Azores.16
The choice of this westernmost group of isles in general, and Corvo and Flores in particular, was
additionally supported by Portuguese roteiros, many of which found their way northward in Europe
despite an official embargo. The vital rôle played by Jan Huyghen van Linschoten of Enkhuizen in this
respect is well-known; the navigational sources he compiled in Asia (1579-92, while in Portuguese
4
service) would greatly facilitate the first Dutch East India ventures in the 1590s.17 The Reys-geschrift
van de Navigatien der Portugaloyers (part of his multi-volume Itinerario) would eventually go through
five Dutch editions (1595-1644), two French ones (1619, 1638), and an English version (1598).
Some of the sailing directions contained therein had detailed descriptions of compass behaviour at
sea. According to one by master Vicente Rodrigues de Lagos, the needle was supposed to point true
between Flores and Fayal, while another suggested the longitude of St. Maria instead, shortly before
explaining the concept of an agonic meridian, in van Linschoten's words:
Om nu te verstaen het wraken ofte declineren van 't compas, so is te weten, dat alsmen is onder de
Meridiaen, dat is: onder de linea ofte streeck die men verciert in den omloop van het firmament,
van den eenen pool tot den anderen . . . so heeft men alle compassen (die goet en oprecht zijn) ficx
ende ghelijck, sonder te wraken naer 't oosten ofte westen, ende wesende aen d'een of d'ander zyde,
te weten, als men is aen de zyde van 't oosten, so wraect de lelie ofte naelde van 't compas naer 't
westen, dat hieten wy noortwesteren, ende als men is aen de westzyde van de Meridiaen voorseyt,
soo wraeckt ofte declineert de naelde van 't compas nae het oosten, dat hieten wy noordoosteren,
waerme dit nu ghenoegh verstaen can worden om hen daernaer te reguleren.18
The Atlantic was not the only area where zero declination had been registered; Cape Agulhas
(South Africa), and several locations in southeast Asia (notably Pedra Branca and Canton) and the
Americas (Cartagena, Vilalobos, Acapulco) were also associated with agonic meridians from the 1590s
onward. Since such a distribution is incompatible with a single tilted dipole, a four-pole arrangement
was proposed instead, most often imagined as two tilted dipoles at right angles, generating two agonic
great circles that evenly quartered the globe. Although the resultant progression of compass deflection
from true north was doubled to four alternating sections of northeasting and -westing, the Atlantic
longitudinal reference itself remained unchanged. Examples in the table include de Acosta (translated
into Dutch by van Linschoten in 1598),19 da Costa, de Saa, de Figueiredo, le Bon, de Mariz Carneiro,
and Pimentel.
A more influential scheme was devised and avidly recommended to mariners by Flemish preacher
Petrus Plancius. Based primarily on Spanish (rather than Portuguese) data, his four agonics divided the
Earth's 360 degrees into one section of 60º (from Corvo to the next agonic over Cape Agulhas), and
three of 100º (separated by meridional agonics over Canton and Acapulco). Each of these regions was
additionally subdivided into two halves, of increasing and decreasing (wassende, afgaende) declination.
This hypothesis was supported with a table of 43 compass observations at various landmarks (mostly in
the Atlantic hemisphere), the longitudes of which (all relative to Corvo) had been "adjusted" to neatly fit
the conjecture of regularity. Plancius had, for instance, placed Bantam (Java) nearly nineteen degrees
west of its true longitude, which led to a dispute with van Linschoten on its position.20
The Calvinist cartographer's substantial contributions to Dutch navigation have been discussed by
many scholars, and need not detain us here.21 Less well-known is his impact as first hydrographer of the
Verenigde Oostindische Compagnie (VOC) on the choice of prime meridian by its navigators. During
the first four decades of the seventeenth century, those (sampled) Dutch navigators on East Indiamen
that used a longitudinal measure of arc overwhelmingly reckoned from Corvo (see figure 2). Moreover,
several VOC logbooks from this period not only used this meridian, but also explicitly stated observed
magnetic declination in terms of Plancius's global partitions, such as the Griffioen (1608), the Zierikzee
(1620), the Hollandia (1626), the Wapen van Hoorn (1627), the Zutphen (1632), the Amsterdam (1633,
1635), the Nieuw Amsterdam (1636), and the Banda (1637).22 Given the Fleming's influence on a whole
generation of Dutch masters since 1595, as teacher and examiner of navigation, and administering and
correcting sailing directions (and possibly charts), it seems warranted to assume that the practical
implementation of the agonic prime meridian over Corvo on Dutch routes to the East Indies was
primarily his doing.23 Other writers on navigation supporting his agonic-based reckoning include Simon
Stevin (1599, 1608), Barent Evertsz Keteltas (1609), and Abraham Cabeliau (1617).24
[FIGURE 2: Dutch prime meridians in logbooks]
5
But it was not to last. Already severely criticised by contemporaries during his lifetime,25 Plancius's
longitude solution and associated prime meridian would be abandoned in navigational practice within
two decades after his demise in 1622, due to two main reasons. First, cartographer W. J. Blaeu, one of
the main adversaries of the theory, had become VOC hydrographer in 1633, the start of a lineage that
would continue (with his son Joan from 1638, and grandson Joan from 1673) until 1705.26 The Blaeus
all championed the emerging new Dutch standard meridian that adorned their own globes and atlases
alike, to be discussed in the following section. Secondly, Henry Gellibrand, a professor of astronomy at
London's Gresham College, published his findings in 1635 (based on compass measurements around the
English capital over the previous 54 years) that the Earth's magnetic field had been changing with time.
This discovery had devastating consequences for time-invariant geomagnetic longitude schemes like
Plancius's,27 while simultaneously providing a hint as to why so many Atlantic isles had previously been
thought Nature's unique favourite. More than any other factor, secular variation spelled the end for the
agonic prime meridian. Despite a continuing trickle of such propositions by some land-based authors
around the mid-seventeenth century, navigators of all nations quickly incorporated the notion of field
change, which concurred with their own experience.28
In retrospect, individuals from the Southern Netherlands can be seen to have contributed most to
the diffusion of agonic prime meridians in the Low Countries. Mercator's original lines of inquiry were
widely distributed via Coignet in Antwerp to the Northern Netherlands, England, and France, while
Plancius (born in Drenouter, near Belle) laid the foundations of his Corvo-based system with the aid of
many gathered Iberian sources. Some of his ideas subsequently reached many foreign minds through the
translated works of Stevin (born in Bruges). At the same time, direct and sustained communication with
navigational practitioners ensured their (temporary) adoption in the maritime realm, at least as far as the
VOC is concerned.
The Era of the Sea Atlas (1650-1750)
Figure 2 visualises the various prime meridians reckoned from aboard Dutch ocean-going vessels in the
period 1598-1800. The total sample comprises 536 logs, from East India companies (249), Admiralties
(123), merchants (153),29 and whalers (11) based in the Northern Netherlands. Their navigators have
relied upon all three archipelagos in the past, calculating ship's position relative to (C)orvo, (T)enerife,
St. (J)ago, and (B)oavista. Nevertheless, even a perfunctory glance at this plot would suffice to ascertain
that the meridian through the Canaries outnumbers all its competitors by a huge margin. This was not
some belated honorary recognition of Ptolemy's work, but due to purely practical considerations.
Tenerife's Teide volcano rises an impressive 3,718m above sea-level, making it by far the highest peak
for hundreds of miles around, and more elevated than the next-tallest landmarks in the Azores (Ponta do
Pico, 2,351m) and the Cape Verdes (Fogo's Pico, 2,829m). In addition, the Canaries had the advantage
over the other two groups in being most easily reached from Europe, favoured by northeast tradewinds
and Canaries Current, and ideally located as waystation for Atlantic crossings to north America and the
West Indies, African destinations, and the routes to south America and the East Indies.
The reasons for Corvo's fall from grace have been outlined in the preceding section. The actual
transfer from Corvo/Flores to Tenerife can be dated fairly accurately to around 1640. At this time,
Amsterdam cartographer Jacob Aertsz Colom still graduated his West-Indische Pascaert relative to both
Flores and Tenerife, indicating possible parallel usage. More revealing is a remark logged in the journal
of the Dutch East Indiaman Pauw in Asian waters, expressing longitude relative to Tenerife, but adding
an alternative coordinate shifted 13º to the east (i.e., using Corvo), stated as "following the old
custom."30 Furthermore, not a single sampled Dutch logbook after 1640 bears any evidence of lingering
Azorean prime meridians. It therefore seems safe to assume that by the mid-seventeenth century Dutch
mariners no longer tended to reckon from Corvo.
6
Nevertheless, the choice of Tenerife was somewhat tentative at first, being challenged by
alternatives from the Cape Verdes in the 1660s and 1670s. Nine VOC journals from this period
measured from St. Jago, and another three used nearby Boavista in this capacity. Belatedly, the Dutch
private merchant Witte Lam, on a trip from the Dutch Republic to Cadiz and back in 1707-08 also
defied the odds in favour of St. Jago.31 But a closer look at the provenance of the VOC sources reveals
that all except one of the St. Jago journals were kept by a single mate (Sipke Vis), and most of these
concerned intra-Asian traffic only. Moreover, the three carriers using Boavista were written by one
merchant (E. B. Verweij), on Indian Ocean itineraries commonly associated with the French Compagnie
des Indes (CDI, see below), in ships such as the Sint Loowis, that may have been French as well.
Despite first impressions based on the diagram alone, the challenge to Tenerife may thus very well have
been almost negligible.32
From the earliest days, the VOC judged its charts to be of high strategical value. To avoid dispersal
among rivals abroad, they were hand-drawn by Company hydrographers and their aides, and issued
under embargo to its crews. But complaints about carelessness, theft, and abuse prompted the Directors
in 1654 to impose tighter reins on the number and types of charts on board each vessel, through the
introduction of inventory lists, to be signed by each navigating officer upon receipt and return of the
stated items. The first version came into effect in 1655, to be updated in 1675, 1731, and 1747. These
documents contain invaluable information regarding the actual charts used, not least because so few
originals have survived. They show that throughout the studied period Dutch navigators en route to the
East were fortunate in having sets of both Mercator (wassende GraedKaert) and plane charts
(gelyckgradighe, Paskaert) for the same oceanic areas (north Atlantic, south Atlantic, and Indian
Ocean).33
Each projection is suited to a particular type of navigation. Plane charts distort longitudinal degrees
to be of equal (physical) length regardless of latitude (rather than diminishing from circa 111.24 km on
the equator to zero at each pole). Therefore, plane charts are best employed to cover small areas, and
tend to induce latitude sailing.34 Mercator charts also depict meridians as straight lines, but vertically
extend latitudinal degrees in exact proportion to the stretched horizontal dimension. Since all rhumbs
thereby become straight lines as well, a ship's constant heading towards a destination can be simply
drawn with a ruler, regardless of the size of the covered area.35 In other words, the Mercator projection
allows setting a course to pre-specified coordinates over large distances (providing winds and currents
allow this).
The dearth of extant manuscript charts used on Dutch East Indiamen prevents a quantified
assessment as to what proportion of these had longitudinal degrees marked (along margins or equator),
from which a possible active imposition of the Tenerife meridian of reference could perhaps be inferred.
What limited evidence exists shows that, even well into the 18th century, many Dutch charts carried
only a latitude scale, lacking longitudinal graduation altogether. However, those that did show longitude
(both plane and Mercator) favoured Tenerife.36 Moreover, all VOC sailing directions from the 1680s
that incorporated longitudes did so relative to Tenerife, without exception.37 This choice may have been
additionally promoted through other means, such as navigation textbooks and teaching, printed tables of
geographical coordinates of ports and landmarks, and oral tradition from master to mates. Whatever the
means of diffusion, Dutch oceanic logbooks and journals support the assumption of global reckoning
(i.e., all over the world, regardless of location), relative to a single prime meridian over Tenerife, at the
latest from circa 1675 onwards.38 It should therefore come as no surprise that the Amsterdam Admiralty
officially endorsed this meridian in 1787, and that the translated Nautical Almanac (published for the
first time that same year) had its zero meridian shifted nearly seventeen degrees westward. It would take
until 1826 before Greenwich was officially adopted by royal decree in the Netherlands.39
But apart from thousands of anxiously guarded manuscript charts relied upon by VOC and
Admiralties, a second Dutch source of hydrographic information did appear in print and spread widely
among all that could afford it. The so-called sea atlas came into being in the 1650s. Unlike waggoners
7
(which had been around since 1584), these cartographic compilations did not restrict their portfolio to
European coastlines on a uniform scale, but covered the Atlantic and sometimes the Indian Ocean as
well, in anything from a few dozen to several hundreds of charts, drawn on a wide variety of scales.
Although most followed a plane projection with latitudinal graduation only, some carried an equatorial
longitude scale as well, again relative to Tenerife. The number of Mercator charts in these atlases was
initially very low, but increased from the 1680s.40
A handful of fiercely-competing chart publishers in Amsterdam have produced many editions of
such maritime atlases, often enlarged, but otherwise very similar in title and content. After modest
beginnings by Johannes Janssonius and Arnold Colom in the 1650s, the genre was more or less defined
by Hendrick Doncker's 1659 Zee-atlas ofte Water-Waereld (initially containing a mere nineteen charts,
later expanded to over seventy). The subsequent two decades saw rising competition from the likes of
Pieter van Alphen, Jacob Aertsz Colom, Pieter Goos, Casparus and Jacob Lootsman, Arend Roggeveen,
Johannes van Keulen (and successors), and Jacob Robijn. Regrettably for the mariner, the quantity in
output and quality of printing was not matched in accuracy of the coastlines depicted. Some of the
copper plates changed hands repeatedly, while others were simply copied from a competitor's original
without acknowledgement. Many were recycled for decades, maintaining an outdated level of
cartography for the general public.41 Whereas an early eighteenth-century VOC manuscript chart might
contain errors of less than a degree in, say, Madagascar's shape, its contemporary printed counterpart in
Dutch sea atlases still kept a grossly inaccurate image alive, somewhat reminiscent of a shriveled
balloon.
[FIGURE 3: Sea atlases from Amsterdam]
Yet despite these problems, the sea atlas not only proved an enduring commercial success at home,
but also found an eager and appreciative audience elsewhere in Europe. Apart from a number of Latin,
Spanish, and Italian editions, it was French and English translations that fared best abroad. Figure 3
plots Dutch, French, and English editions from the various publishing houses (identified by letter), next
to comparable indigenous publications (symbols). It shows that some chart sellers targeted a specific
market (Janssonius chose France; van Alphen, Lootsman, and Robijn preferred England), whereas other
firms sold in both countries (foremost Doncker, Goos, and van Keulen). Furthermore, commercial
impact appears more concentrated and constrained by local competition in England than in France.42 Of
course, the question then arises whether these Dutch publications and their derivatives significantly
affected oceanic navigation in these two countries. Once again the historian can turn to the legacy of
logbooks and journals for a complicated, but revealing answer. In the following brief assessment, the
French case will precede the English one, and focusses attention once more on the longitudinal baseline.
On the first of July 1634, King Louis XIII decreed that the official French prime meridian, to be
observed at all times by his chart and globe makers, hydrographers, and navigators, was to be the island
of Ferro (see figure 1).43 Apart from distant echoes of Ptolemy, this decision was perhaps also informed
by prior French geomagnetic longitude solutions, which either included, or exclusively identified, this
most westerly of the Canary isles in the geographical description of their agonic meridian (see table 1).
A mere three decades hence, France experienced a "scientific awakening" under minister Colbert, who
funded the building of the Parisian Observatory in 1667. Studies of the celestial sphere under
astronomer G. D. Cassini resulted in the state-sponsored nautical almanac Connaissance des Temps
from 1679, and established the longitude of the French capital more precisely. The latter became the
foundation for a nationwide triangulation survey, under the aegis of the young Académie Royale de
Sciences de Paris (founded 1666). This allowed the French coastline to be redrawn, for instance, in the
1693 Neptune François (29 Mercator charts of European Atlantic coasts); its preface also stressed the
advantage of this projection to mariners.44 A separate Mercator chart relative to Ferro, relied upon by
French masters sailing to the East Indies, was probably drafted around this time by Georges Boissaye de
Bocage.45
8
State influence also affected oceanic cartography. Although officially established in 1720, the
French Dépot de Cartes, Plans, et Journeaux de la Marine actually dates back to the 1680s. Its main task
was the collection, elaboration, and revision of French charts, and processing logbooks (and other
sources) to extract valuable information pertaining thereto.46 It provided French officials with yet
another instrument to endorse a formally sanctioned prime meridian.47 One would therefore expect
foreign influences to be easily thwarted, and to have little effect on French oceanic navigation.
However, the logs themselves tell an altogether different story.
[FIGURE 4: Charts and prime meridians referred to in French logbooks]
Figure 4 visualises charts (top layer) and prime meridians (bottom layer) referred to in 468 sampled
French logbooks and journals over the period 1670-1789, consisting of 233 naval sources, 225 from the
CDI, 2 by smaller merchant companies, and 8 unattributed ones.48 Regarding prime meridians, the
contrast with the Dutch situation is striking. Up to the mid-1750s, when (P)aris (see figure 1, top right)
finally wiped out all competition, it was not (F)erro that predominated oceanic navigation (29
occurrences), but Dutch favourite (T)enerife (103), and St. (J)ago in the Cape Verdes (135), with small
contributions from the (A)zores and (B)oavista, and a single instance of reckoning from (M)adagascar
(to nearby Ile de Bourbon). To confuse matters further, thirteen logs (denoted with "X" in the figure)
shifted (once) from one prime meridian to another during the voyage, which is commonly associated
with a change in chart. So is it possible to uniquely identify cartographic sources and link these with an
associated meridian?
For starters, some French navigators simply spoke of their reliance on "a Dutch chart", such as on
the Sirenne in 1720: "je prend mon point départ sur une carte holandaisse qui prend son meridien au
Teneriffe et qui est bien juste et fort bonne."49 Such references have been marked in the top part of
figure 4 as letters within a square, in this case (H)ollandois.50 More specific are remarks identifying the
actual chart publisher. Two names that occurred time and again are those of Pieter (G)oos (often written
"Pietergoos") and van (K)eulen ("WanKeulen", "Van Queulen"), incidentally, concurring with figure 3.
Some authors associated these names with the word "chart", others with "longitude" or "meridian".
Disconcertingly, none profess a unique bond with either a particular meridian (Tenerife or St. Jago) or
destination.51
By contrast, when examining particular null meridians, both Boavista and the "Azores" appear
strongly correlated in the sample with specific routes or regions: all French masters estimating from the
former were heading for the East Indies,52 whereas the latter's usage was confined to the North Atlantic
(between France and Canada,53 and on the last homeward leg from the East, switching from either
Tenerife or St. Jago).54 But other instances when one meridian was exchanged at sea for another only
serve to obfuscate attribution. Three voyages to the Americas all changed along the way from Tenerife
to St. Jago; the first early on the outward voyage, the second while on the south American coast, the
third in the last few days before reaching the home port again.55 Two East Indiamen employed Tenerife
in the Atlantic and St. Jago in the Indian Ocean, whereas two others used St. Jago all the way to reach
Asia, and reckoned from Tenerife or Paris on intra-Asian passages thereafter.56
Underlying patterns only begin to emerge when recalling that most of the Dutch charts in question
did not carry any longitude scale. Furthermore, those in Dutch sea atlases with east-west graduation
used neither the Cape Verdes nor the Azores to calculate longitude. Yet the evidence strongly suggests
that these sources pervaded French oceanic navigation; as late as 1764, Ingénieur Hydrographe de la
Marine Jean-Nicolas Bellin complained about the Dutch charts "dont on etoit forcé de se servir, puisque
personne en France ne s'étoit de ce siecle-ci, livré à l'étude et à la construction des cartes marines."57
Obviously, when a French Mercator chart was used to ply the Atlantic, one would expect to find
reference to Ferro. Equally, mention of a "Dutch meridian" brings Tenerife foremost to mind. But
detailed analysis of the French sample shows that in most cases, it was not the chart that determined the
selected prime meridian, but the intended itinerary. Of 94 French East Indiamen, a mere 14 used
Tenerife (and these passed the Canaries at close range), against 80 that reckoned from one of Cape
9
Verdes (the more obvious waystation to the East). French ships on triangular routes (France - west
Africa - Americas - France) overwhelmingly chose the Canaries (Tenerife and Ferro, 36 times) over the
other two archipelagos (a sighting of which would have implied a detour, 4 times only).
Interestingly, the choice was made long before the actual close passage at sea. French masters set
out a course that would bring them near their chosen isle of zero longitude, there corrected their
positional estimate, and then continued their journey while retaining their meridian of reference for the
rest of the way. This forward looking method of oceanic navigation by advance selection of a
waystation-based prime meridian can be called target reckoning. Even though Mercator charts were
available, and translated Dutch sea atlases (plus the odd illegally obtained manuscript chart) were for
sale, no single prime meridian ever reached the coveted status that Ferro was supposed to have, but
never attained. In this respect, French navigational practice thus differed thoroughly from the Dutch
example, up to the 1750s.
From then on, a number of new French charts and sea atlases managed to completely destroy the
hegemony of the Atlantic isles. The aforementioned Bellin compiled the Atlas Maritime (1751), the
comprehensive Hydrographie Française (1756-65), and the Petit Atlas Maritime (1764), which despite
its title contained no fewer than 580 charts in five volumes. Although partly based on older material, all
charts bore (added) longitude graduations. Despite carrying multiple scales relative to Paris, London, the
Lizard, Ferro, and Tenerife, the logbooks show that only the Paris meridian was used; references to the
"carte Francaise de la Marine", the "carte de la Cour", and the "carte de Maurepas" (marked as (N)aval
in figure 4) are solely associated with longitudes relative to Paris.58
The second major agent of change was Jean-Baptiste Nicolas Denis d'Après de Mannevillette.
Already in 1745, this hydrographer issued his Neptune Oriental ou Routier Général des Côtes des Indes
Orientales et de la Chine (22 charts and sailing directions), greatly enlarged in 1775 (63 charts) and
1781 (supplement). He also produced a separate Mercator chart of the Indian Ocean (1753) and an
abridged printed sailing direction for the East Indies (several editions in the 1760s).59 All uniquely
depended on the French capital's prime meridian. A navigator on board the CDI's Gloire in 1756, for
example, honoured d'Après by reckoning "du meridien de l'observatoire Royal de Paris, me servant de la
carte de M. D'après de Mannevillette Capitaine de V.aux de la Compagnie des Indes."60 Consequently,
no trace of either Tenerife, St. Jago, or Dutch sea atlases has been found in any sampled French
navigational log or journal after 1760, at which time the transition from Atlantic target reckoning to
global longitudes from Paris can be considered completed. More than a century was to pass before
France eventually adopted Greenwich in 1884.
The situation across the Channel was somewhat different. Up to the 1660s, the English mariner mainly
relied upon large-scale plane charts, manually drawn on parchment. These were produced throughout
the seventeenth century by plattmakers in the Drapers' Company in London's docklands, collectively
known as the "Thames school". Although these men incorporated hydrographical data from seafarers,
most were themselves landlubbers; trained copyists, but without actual experience at sea. Their
traditional manuscript latitude charts marked neither longitudinal degrees nor prime meridian.61
Early advocates of the nautical advantage of Mercator's projection were likewise little heeded.
Edward Wright's 1599 Certaine Errors of Navigation even contained an example (with prime meridian
over St. Jago), which probably did more to inspire Dutch cartographers (such as Hondius) than their
English colleagues. Four decades later, Robert Dudley printed his Arcano del Mare in Florence (1646,
1661), the first English sea atlas. It contained over a hundred Mercator charts with longitudes relative to
an agonic meridian over Pico (see table 1), but equally failed to rise to any prominence in England.
Neither did Joseph Moxon's Book of Sea Plats (1657), the first such publication produced in England.
As late as 1681, when a captured Spanish compendium of Pacific sea charts and sailing directions was
translated as the Waggoner of the Great South Sea, the (coastal) charts were still reproduced only by
hand.62
10
Returning one more time to figure 3, Dutch publishers of sea atlases (notably Doncker, Goos,
Lootsman, and van Keulen) can be seen to have quickly exploited this commercial opportunity (166090), inundating the London market with English translations of their printed products. However, their
reign was relatively short-lived, due to the efforts of two English hydrographers: John Seller, serving
king Charles II and James II, and John Thornton, employed by the English East India Company (EIC)
and the Hudson's Bay Company.
John Seller is chiefly known for his English Pilot waggoner (1671, and numerous subsequent
editions) but also printed the Atlas Maritimus (1675, 1682) and Hydrographia Universalis (1690), which
had a much wider geographical scope. The material for both was almost entirely of Dutch origin; Seller
had obtained old copper plates sold for scrap in Amsterdam in the late 1660s, and had them re-engraved
in London with anglicised nomenclature. He subsequently also copied preface and (plane) charts from
an atlas by Pieter Goos and various other Dutch sources.63 John Thornton was able to lay eyes on
original manuscript (plane) charts by Joan Blaeu (as well as other Dutch sources), which he copied by
hand before transferring them to copper plate for the third part of his 1703 English Pilot, for the East
Indies. Following Seller's example, he had previously brought out an Atlas Maritimus (1685, 1700) as
well. Similar sea atlases were published by P. Lea (1700), Knapton & Knapton (1728), and Mount &
Page (1702, 1708, 1750, 1755). Most charts had latitudinal degrees, but some (especially large-scale
ones) merely carried a scale bar in English leagues or miles. All perpetuated the mediocre standard of
Dutch printed plane charts as earlier encountered.64
Nevertheless, the English borrowing practice failed to include the meridian of Tenerife as
baseline.65 Where longitudes did occur in print, for instance, in tabulated geographical coordinates of
voyages and places (such as in Thornton's sailing directions in his 1703 Pilot) they often measured from
Lizard Point in Cornwall (see figure 1, top right), the most southerly tip of the English mainland. Some
plane charts drew this meridian as well, with parallel lines indicating the distance in leagues east or west
of it.
In the 18th century, the meridian of London (passing through the dome of St. Paul's cathedral) was
increasingly used by cartographers, but seafarers were initially far less eager to follow. After the advent
of the Nautical Almanac in 1767 (which contained lunar tables to calculate longitude relative to the
Greenwich Observatory), chart publishers and mariners also proved reluctant to change. It was left to a
new generation of cartographers (such as Steele, Arrowsmith, and Norie) to spread this reform, aided by
a growing number of chronometers at sea from the 1790s, and the founding of the naval Hydrographic
Office on 1795, which exclusively used Greenwich.66
It would be tempting to conclude from the preceding that English navigators simply applied global
reckoning in the Dutch sense, initially from the Lizard. It would also be incorrect. When examining
English long-distance navigation in logbooks up to 1750, longitudes often appear as if only an
afterthought. Moreover, a substantial number of East Indiamen apparently was able to do completely
without them. And where longitudes were noted in these documents, those of faraway shores were
rarely expressed relative to the Cornish headland. So how did English navigational practice differ from
Continental means of reckoning?
The first part of the answer can be gleaned from Thornton's Pilot (1703), which contains a list of
successive coordinates on a recent voyage to the East Indies and back.67 It is subdivided into six smaller
tables, each with its own heading. The first reads: "The Longitude Reckon'd from the Meridian of St.
Jago", the second: "From the Meridian of Cape bona Esperance to Hughley". The next three (traversing
the Indian Ocean) take Surat as longitudinal zero, while the last one uses the Cape again, on the passage
to St. Helena. In the words of the contemporary nautical manuscript Sayling by the True Sea Chart: "our
sea fareing men generaly speaking make the meridian they parted from the first meridian."68
Common English oceanic practice up to the 1750s thus renounced the supremacy of any prime
meridian on formal or theoretical grounds. Instead, they applied the more utalitarian principle of taking
the last land sighted. As soon as the next (recognised) waystation came into view, not only would the
11
accumulated positional error be reduced to zero, but also the longitudinal parameter itself. In contrast to
the Dutch choice of Tenerife, and French references to a handful of Atlantic isles, the English method of
local reckoning relied on an ever-expanding array of hundreds of meridians, whose primacy was brief
but recurrent.
A second major difference between English and Continental shipboard practice mostly concerns
navigation to and from the East Indies. Rather than measuring easterly or westerly displacement in
degrees of arc, masters on such journeys often only used meridian distance, i.e., physical distance stated
in leagues or spherical degrees (of fixed length, irrespective of latitude).69 Particularly in the first half of
the eighteenth century, this was the method of choice in the EIC, as is evident from a sample of 345
English logbooks and journals, consisting of 119 from the EIC and 226 from the Royal Navy. Figure 5
depicts for both maritime organisations all sampled instances of (M)eridian distance reckoning (i.e.,
without longitudes calculated alongside), (A)rc measures of longitude (relative to multiple meridians),
and the advent of global reckoning from (L)ondon (including Greenwich).
[FIGURE 5: Types of reckoning in English logbooks]
Naval sources are regrettably lacking for the first half of the seventeenth century, and remain
sketchy at best for the second. Nevertheless, they show a marked difference with East India navigation,
in that measures of arc dominate over meridian distances from the start. Furthermore, the latter have
vanished from (oceanic) naval logs by the 1720s, while persisting in the EIC until circa 1760.70
Similarly, the (global) prime meridian over London was making headway in the Royal Navy decades
before EIC navigators followed suit.71 This discrepancy between the two navigation traditions
constitutes a third aspect in which English and Continental practice did not concur.
These findings have important implications for the type of chart used on board English ships, since
tracing a course triangle based on meridian distance (rather than degrees of longitude) is eminently
suited to large-scale plane charts. A Mercator grid, on the other hand, would be inappropriate, because
the physical distance between meridians shrinks as a (cosine) function of latitude. It is therefore unlikely
that EIC navigation up to 1750 depended on Mercator charts to any substantial extent, providing yet
another explanation why no single prime meridian rose to early prominence in England. A series of nonoverlapping plane charts on different scales tend to leave a decidedly fractured image of the world,
confounding attempts to relate local landmarks to any global framework. It was initially the translated
Dutch sea atlases, followed by English derivatives, which presented this multi-faceted, but myopic view
to navigators, inducing a localised form of distance reckoning based upon frequent shifts in prime
meridian.72
[TABLE 2: East India navigation 1650-1750]
When reflecting upon the covered developments, national differences in oceanic navigation during
the era of the sea atlas (1650-1750) can be seen to have been most pronounced on the challenging routes
to and from the East Indies (summarised in table 2). They show that each East India Company
developed its own answers to the problem of measuring longitude, shaped by different sources,
traditions, and techniques. Furthermore, navigational practice proved more influential in the choice of
prime meridian than the charts that bore them. It also bears testimony to the success and spread of Dutch
sea atlases, not just in a commercial sense, but strategically as well, providing foreign competitors with
an easily procured, but inferior cartography, while superior manuscript sources were kept secret. In
particular the Northern Netherlands can in this sense be considered a significant exporter of a particular
level of nautical knowledge. Finally, the results underline the enduring historical value of ordinary
nautical logbooks and journals, which can reveal a glimpse of what went on under the master's dividers.
12
Tables
Table 1. Agonic Meridians 1500-1700
Year
1508
1519
1522
1542
-----1545
1547
1550
1558
1569
1573
-----1581
-----1583
1590
1594
1596
1597
1598
1599
1602
1603
1607
-----1608
1609
-----1615
1617
1621
1624
1625
1632
1640
1655
1673
Proponent
de Lisboa
(Portugal)
Faleiro
(Portugal)
Cabot
(Italy)
de Santa Cruz
(Spain)
Rotz
(France)
Cortés
(Spain)
Fernandez de Oviedo (Spain)
Cardano
(Italy)
della Porta
(Italy)
Mercator
(Flanders)
Menendez de Aviles (Spain)
Toussaints de Bessard (France)
Borough
(England)
Coignet
(Flanders)
de Vaulx
(France)
de Acosta
(Spain)
Wyatt
(England)
da Costa
(Portugal)
Blundeville
(England)
Plancius (Dutch Republic)
Stevin
(Dutch Republic)
de Syria
(Spain)
de Nautonier
(France)
Crescentio
(Italy)
Davis
(England)
de Fonseca
(Portugal)
Linton
(England)
Keteltas (Dutch Republic)
Ferrer Maldonado
(Spain)
Cabeliau (Dutch Republic)
Tarde
(France)
de Saa
(Portugal)
de Figueiredo
(Portugal)
Aspley
(England)
le Bon
(France)
de Mariz Carneiro
(Portugal)
Pimentel
(Portugal)
Cape Verdes
Canaries
S Antao
Ferro
Ferro
S Maria, Corvo
Azores
Canaries
Canaries
Sal, Boavista, Mayo
Cape Verdes
meridian
type
measure
Tenerife
global
longitude
(arc)
Corvo
Azores?
S Michael
Azores
S Maria, S Michael
Ferro
Boavista, Mayo
west of Ferro
Corvo
Pico
Azores
Azores
Corvo, Flores
Corvo, Flores
Terceira
western Canaries
S Michael, S Maria, Terceira
S Michael
Terceira?
west of Canaries
Cape Verdes
Table 2. Oceanic Navigation 1650-1750
VOC
production
manuscript
Charts
projection
plane/Mercator
source
Hydrographic Office
Reckoning
Azores
S Michael, S Maria
Corvo
west of Flores
Corvo
Canaries
Corvo, Flores
Corvo
Corvo, Flores
Azores
near Corvo
Corvo
S Michael
west of Corvo
Azores?
Azores?
CDI
printed
plane/Mercator
Sea Atlas
EIC
printed
mostly plane
Sea Atlas
Atlantic isles
target
longitude
(arc)
last sighted land
local
meridian distance
(physical)
13
Figures
Figure 1. Early-modern maritime prime meridians relative to Greenwich. Main chart: North Atlantic
Ocean. Top right: Channel. Top left: Azores. Middle left: Canary Islands. Bottom left: Cape Verde
Islands. Only those locations relevant to the text have been labelled. Mercator projection.
14
Figure 2. Prime meridians in sampled Dutch logbooks (1598-1800). B = Boavista; C = Corvo; J = St.
Jago; T = Tenerife. Numbers indicate additional instances in the same year of the adjacent meridian.
15
Figure 3. Sea atlases from Amsterdam publishers (1650-1710), in Dutch (top), and in French (middle)
and English translation (bottom). A = Pieter van Alphen; C = Arnold and Jacob Aertsz Colom; D=
Hendrick Doncker; G = Pieter Goos; J = Johannes Janssonius; K = Johannes van Keulen (and family); L
= Casparus and Jacob Lootsman; R = Jacob Robijn; V = Arend Roggeveen. Source: Koeman, Atlantes
Neerlandici, vol. 4. Circled star: French sea atlas. Circled cross: English sea atlas.
16
Figure 4. Charts (top, in squares) and prime meridians (bottom) referred to in sampled French logbooks
(1670-1789). Charts: A = d'Après de Mannevillette; B = Bocage; G = Goos; H = Hollandois (Dutch); K
= van Keulen; N = Naval. Meridians: A = Azores; B = Boavista; F = Ferro; J = St. Jago; M =
Madagascar; P = Paris; T = Tenerife; X = shifting. Circled star: French sea atlas. Numbers indicate
additional instances in the same year of the adjacent meridian.
17
Figure 5. Types of reckoning in sampled English logbooks (1600-1800) from East India Company
(top) and Royal Navy (bottom). A = Arc measure of longitude (local); L = London and Greenwich
(global); M = meridian distance (local). Circled cross: English sea atlas. Numbers indicate additional
instances in the same year of the adjacent meridian.
18
Notes
1. At the time, about two thirds of world shipping already relied upon the Greenwich meridian; Howse, D. "1884
and Longitude Zero." Vistas in Astronomy 28 (1985) 11-19; Howse, D. and M. Sanderson. The Sea Chart: An
Historical Survey Based on the Collections in the National Maritime Museum. Newton Abbot: 1973. 101.
2. Fournier, G. Hydrographie Contenant la Théorie et la Pratique de Toutes les Parties de la Navigation. 2d ed.
Paris: 1676, 425. Some Arab geographers actually kept Ptolemy's prime meridian; Kennedy, E. S. and M. H.
Regier. "Prime Meridians in Medieval Islamic Astronomy." Vistas in Astronomy 28 (1985), 29-32.
3. Waller, R. The Posthumous Works of Robert Hooke . . . London: 1705, 480-81; Markham, A. H. The Voyages
and Works of John Davis the Navigator. Hakluyt Society Publications, series I, no. 59a. London: 1880, 341;
Mercier, R. "Meridians of Reference in Pre-Copernican Tables." Vistas in Astronomy 28 (1985) 23-27; Gingerich,
O. "The Accuracy of Ephemerides, 1500-1800." Vistas in Astronomy 28 (1985) 339-42; Sarton, G. Six Wings: Men
of Science in the Renaissance. London: 1957, 90; rare evidence of the meridian of Frankfort used at sea in Gosch,
C. C. A. (ed.) Danish Arctic Expeditions, 1605 to 1620. 2 vols, Hakluyt Society Publications, series I, no. 96, 97.
London: 1897, 2: 71 (voyage Jens Munk, 1609).
4. Bentley Duncan, T. Atlantic Islands: Madeira, the Azores and the Cape Verdes in Seventeenth Century
Commerce and Navigation. Chicago, Ill.: 1972, 7-19. The Azores were also known as the "Flemish Islands",
because in 1466 the island of Fayal had been given to Isabella of Burgundy as part of a treaty settlement. Later, the
whole group came under Portuguese control; Howse and Sanderson, Sea Chart, 71. In addition, the "Salvages" are
two small rocky islands, about halfway between Madeira (which owns them) and the Canaries.
5. Williamson, J. A. The Cabot Voyages and Bristol Discoveries under Henry VII. Hakluyt Society Publications,
series II, no. 120. Cambridge: 1962, 14, 15; Bentley Duncan, Atlantic Islands, 3-4, 23.
6. Godinho V. M. "The Portuguese and the `Carreira da India' 1497-1810", in Ships, Sailors and Spices: East India
Companies and their Shipping in the Sixteenth, Seventeenth, and Eighteenth Centuries, ed. J. R. Bruijn and F. S.
Gaastra. Amsterdam: 1993, 24; Williamson, Cabot Voyages, 14. Columbus, for instance, used Ferro in the Canaries
as last stop before his Atlantic crossing; Marguet, F. Histoire de la Longitude à la Mer au XVIII Siècle en France.
Paris: 1917, 2.
7. Refugees from the Ottoman conquest of Constantinople (1453) brought Ptolemy's Geography to western Europe,
where the newly invented printing press assured its rapid distribution from 1470 onwards. thereafter. Ptolemy's
legacy thus served as a model for other map makers, many of whom initially followed his meridian choice as well. A
century later, the first modern atlas, Abraham Ortelius's Theatrum Orbis Terrarum (Antwerp, 1570) continued this
tradition, albeit with the addition of the western hemisphere (measured up to 180 west). Cotter, C. H. A History of
Nautical Astronomy. London: 1968, 181; Sanson d'Abbeville, N. Atlas du Monde. Paris: 1665. Facs., intro. M.
Pastoureau. Amsterdam: 1988, 29; Martinez-Hidalgo y Teran, J. M., Historia y Leyenda de la Aguja Magnetica:
Contribución de laos Españoles al Pregreso de la Nautica. Barcelona: 1946, 117.
8. In reality, a magnetised needle will attempt to align itself with the local magnetic flux lines, which are, more often
than not, oriented elsewhere, due to the complex fluid nature of the geodynamo.
9. For a detailed analysis of the evolution of geomagnetic hypotheses, please consult my forthcoming book: Earth's
Magnetism in the Age of Sail, Baltimore, MD: Johns Hopkins University Press.
10. De Lisboa, J. de. "Tratado da Agulha de Marear" in Livro de Marinharia: Roteiros, Sondas e Outros
Conhecimentos Relativos á Navegaçao (1514). Facs. ed. J. I. de Brito Rebello. Lisbon: 1903, 18-24; Albuquerque,
L. M. de. O Livro de Marinharia de André Pires. Agrupamento de Estudos de Cartografia Antiga 1 (1963), 10-12,
124-28, 132; Albuquerque, L. M. de. Contribuicao das navegaçoes do sec. XVI para o conhecimento do
magnetismo Terrestre. Agrupamento de Estudos de Cartografia Antiga 44 (1970) 7-8, 19; Crone, E. "Het Aandeel
19
van Simon Stevin in de Ontwikkeling van de Zeevaartkunde." Mededelingen van de Marine Academie 15 (1963), 8;
Crone, E., E. J. Dijksterhuis, and R. J. Forbes. The Principal Works of Simon Stevin, vol. 3. Amsterdam: 1961, 39394; Davids, C. A. "Finding Longitude at Sea by Magnetic Declination on Dutch East Indiamen, 1596-1795." The
American Neptune 50 no. 4 (1990), 281; Keuning, J., De Tweede Schipvaart der Nederlanders naar Oost-Indië
onder Jacob Cornelisz van Neck en Wybrant Warwyck 1598-1600, vol. 2. Werken der Linschoten Vereniging 44.
The Hague: 1940, xxx-xxxi; Keuning, J. Petrus Plancius, Theoloog en Geograaf 1552-1622 Amsterdam: 1946, 123.
11. De Lisboa, "Tratado da Agulha", ch. 7; Faleiro, F. Tratado del Sphera del Mundo y del Arte de Navegar.
Seville: 1535, ch. 8; Sanuto, L. Geografia dell'Africa. Venice: 1588. Facs. intro. R. A. Skelton. Amsterdam: 1965,
vii-viii, 5v; Santa Cruz, A. de. The Book of Longitudes (Libro de las Longitudines, Seville: 1542). Transl. J.
Bankston. Bisbee, Ariz.: 1992, ch. 4; BL MS Regal 20 B VII, f.16v; Cortés, M. Breve Compendio de la Sphera y de
la Arte de Navegar. Seville: 1551, ch. 5; Oviedo, G. F. de. La Hystoria General de las Indias. (n.p. 1547), f.16v;
Cardano, H. Opera Omnia, Aucta et Emendata. Leyden: 1663, pt. 3, bk. 12, ch. 60; Porta, G. della, Natural magick.
Transl. R. Eden. London: 1658. Facs., introd. D. J. Price. Washington DC: 1957, bk.7, ch. 38; Archivo General de
Indias, Seville (AGI), Indiferente 426, bk. 25, f.226r-227v; Toussaints de Bessard. Dialogue de la Longitude EstOuest. Rouen: 1574, 30; Borough, W. A Discourse of the Variation of the Compasse, or Magneticall Needle 2d ed.
London: 1596, 146; Coignet, M. Instruction Nouvelle de Poincts Plus Excellents et Necessaires, Touchant l'Art de
Nauiger. Antwerp: 1581, 11-12; Bibliothèque Nationale, Paris (BNP) MS FR 9175, f.3v, 19r; Acosta, J. de. Historia
Natural Moral de las Indias. Seville: 1590, bk. 1, ch. 17; Warner, G.F. (ed.), The Voyage of Robert Dudley . . . to
the West Indies, 1594-1595. Hakluyt Society Publications, series 2, no. 3. London: 1899, 91; Dudley, R. Arcano del
Mare. Florence: 1646, passim; National Maritime Museum, Greenwich (NMM) MS NVT/7, ch. 31; Blundeville, T.
His Exercises, Containing Eight Treatises . . . 2nd ed. London: 1597, ch. 25-26; Rouffaer, G. P. and J. W. IJzerman.
De Eerste Schipvaart der Nederlanders naar Oost-Indië onder Cornelis de Houtman, 1595-1597. Werken der
Linschoten Vereniging 7, 25, 32. The Hague: 1915, 1925, 1929, 3: 411-12, 415; Crone, Dijksterhuis, and Forbes,
Principal Works, 420-75; Syria, P. de. Arte de la Verdadera Navegacion. Valencia: 1602, 54, 60; Nautonier, G. de.
Mecometrie de l'Eymant. Venes: 1603, bk. 1, 21; Crescentio, B. Nautica Mediterranea. Rome: 1607, 225, 229, 23637; Markham, John Davis, 284; AGI Patronato 262 R.4 imagen 15, 29-31, 33-40, 52-53, 60, 63, 80-82, 84, 98-103,
116-17; Linton, A. Newes of the Complement of the Art of Navigation. London: 1609, 16; Keteltas, B. Het
Ghebruyck der Naeld-Wiisinge. Amsterdam: 1609, dedication; AGI Patronato 262 R.6 im. 2, 4-5, 28-30; Cabeliau,
A. Reken-Konst van de Groote See-vaert. Amsterdam: 1617, ch. 7 (nota); Tarde, I. Les Usages du Quadrant à
l'Esguille Aymantee. Paris: 1621, 20, 68; Saa, V. de. Regimento de Navegaçam. Lisbon: 1624, 20v; Figueiredo, M.
de. Hidrographia Exame de pilotos . . . Lisbon: 1625, 15-16; Aspley, I. Speculum Nauticum. A Looking Glasse for
Sea-Men. 2d ed. London: 1632, 39; Figueiredo, M. de. Hydrographie ou Examen, Traduit . . . et Augmenté . . .
Dieppe: 1640, 23; Carneiro, A. de Mariz. Regimento de Pilotos e Roteiro da Navegaçam. Lisbon: 1655, 8, 11, 207.
12. Balmer, H. Beiträge zur Geschichte der Erkenntnis des Erdmagnetismus. 3 vols. Veröffentlichungen der
Schweizerischen Geselschaft für die Geschichte der Medizin und Naturwissenschaft 20. Aarau: 1956, 125, 538;
Smet, A. de. "Gerard Mercator: Zijn Kaarten, Zijn Belangstelling voor het Aardmagnetisme en de Zeevaartkunde."
Mededelingen van de Marine Academie van België 14 (1962), 131-34; Hellmann, G. Rara Magnetica 1269-1599.
Berlin: 1898. Neudrucke von Schriften und Karten über Meteorologie und Erdmagnetismus 10 (Nendeln: repr.
1969, 16-17, 67.
13. Thompson, S. P. William Gilbert and Terrestrial Magnetism in the Time of Queen Elizabeth: A Discourse.
London: 1903, 5; Meskens, A. "Mercator en de Zeevaart: Enkele Aspecten." in Gerard Mercator en de Geografie in
de Zuidelijke Nederlanden. Publikaties Museum Plantin-Moretus en Stedelijk Prentenkabinet 29. Antwerp: 1994,
135-37; Smet, "Gerard Mercator", 135-37; Balmer, Beiträge, 124-27, 534-42; Crone, Dijksterhuis, and Forbes,
Principal Works, 396-99.
14. Coignet, M. Instruction Nouvelle de Poincts Plus Excellents et Necessaires, Touchant l'Art de Nauiger.
Antwerp: 1581, 11-16; Meskens, A. J. "Michiel Coignet's Nautical Instruction." Mariner's Mirror 78 no. 3 (1992),
257-70; Crone, "Aandeel van Simon Stevin", 9-10.
20
15. but placed at 23 30' W of London, coinciding with St. Jago in the Cape Verdes.
16. Meskens, "Coignet's Nautical Instruction", 271-77; Blundeville, His Exercises, 1597, ch.25; Blundeville, T. "A
New and Necessarie Treatise of Nauigation" in A Most Plaine and Easy Way for the Finding of the Sunnes
Amplitude and Azimuth, ed. J. Tapp. London: 1630, 331v; Graaf, A. de. De Seven Boecken van de Grootte
Zeevaert. Amsterdam: 1658, 45; Anhaltin, C. M. Slot en Sleutel van de Navigatie ofte Groote Zeevaert. Amsterdam:
1659, 47-48; Borough, Discourse, 154.
17. Pos, A. "So Weetmen Wat te Vertellen Alsmen Oudt Is: Over Ontstaan en Inhoud van het Itinerario" in R. van
Gelder, J. Parmentier, and V. Roeper, eds. Souffrir pour Parvenir: De Wereld van Jan Huygen van Linschoten.
Haarlem: 1998, 135, 137, 144-46; Parmentier, J. "In het Kielzog van Van Linschoten: Het Itinerario en het Reysgeschrift in de Praktijk." in ibidem, 153; Naber, S. P. l'Honoré. Reizen van Jan Huyghen van Linschoten naar het
Noorden, 1594-1595. Werken der Linschoten Vereniging 8 The Hague: 1914, xxv-xxvii; Emmer, P. C. and F. S.
Gaastra. "De vaart buiten Europa: Het Atlantisch Gebied." in G. Asaert et al. (eds). Maritieme Geschiedenis der
Nederlanden vol. 2 Bussum: 1977, 247; Sigmond, J. P. "De Weg naar de Oost." Spiegel Historiael 9 (1974), 361;
Boxer, C. R. "Portuguese Roteiros 1500-1700." Mariner's Mirror 20 (1934), 182; Crone, Dijksterhuis, and Forbes,
Principal Works, 401; Sigmond (1974) 361; Boxer (1934) 177-9, 182; Keuning, Petrus Plancius, 99.
18. WLV 43, p.44, 369-70; Rodrigues's instructions would also be echoed in seventeenth-century Portuguese
roteiros by Joao Baptista Lavanha, and in navigation manuals by Manuel de Figueiredo and Antonio de Mariz
Carneiro; Leitao, H. (intro.) Dois Roteiros do Seculo XVI, de Manuel Monteiro e Gaspar Ferreira Reimao,
Atribuidos a Joao Baptista Lavanha. Lisbon: 1963; Figueiredo, Hidrographia, passim; Carneiro, Regimento de
Pilotos, passim.
19. Pos, "So weetmen", 145; Crone, Dijksterhuis, and Forbes, Principal Works, 403. A second edition of the Dutch
translation followed in 1624.
20. Rouffaer and IJzerman, Eerste Schipvaart, 2: 229, 3: 411-22; Keuning, Tweede Schipvaart, 236-43; Keuning,
Petrus Plancius, 141-42.
21. Davids, C. A. Zeewezen en Wetenschap: de Wetenschap en de Ontwikkeling van de Navigatietechniek in
Nederland tussen 1585 en 1815. Amsterdam: 1986; Davids, "Finding Longitude"; Crone, E. "De Vondst op Nova
Zembla: een Hernieuwd Onderzoek der Navigatie Instrumenten." Bulletin Rijksmuseum 14 no. 2 (1966), 71-85;
Struik, D. J. The Land of Stevin and Huygens: A Sketch of Science and Technology in the Dutch Republic during
the Golden Century. Studies in the History of Modern Science 7. Dordrecht: 1981; Schilder, G. and W. F. J. Mörzer
Bruyns. "Zeekaarten en Navigatie." in Maritieme Geschiedenis der Nederlanden 1. Bussum: 1976, 239-48; Schilder,
G. and W. F. J. Mörzer Bruyns. "Navigatie." in Maritieme Geschiedenis der Nederlanden 2. Bussum: 1977, 159-99;
Keuning, Tweede Schipvaart; Keuning, Petrus Plancius; Naber, Reizen 1594-1597.
22. Algemeen Rijksarchief, The Hague (ARA) 1.11.01.01/1137 logbook Griffioen (e.g. 15-16 Apr, 2 May 1608);
ARA 1.10.30/309 logbook Zierikzee (e.g. 9 Feb 1620 in table); ARA 1.04.02/5050 logbook Hollandia (e.g. 5 Oct, 4
Nov 1626); ibidem /14345 logbook Wapen van Hoorn (e.g. 18 June, 11-12 Aug, 1 Sept 1627); ibidem /1105
logbook Zutphen (14, 27 June, 4-5 July 1632); ibidem /1110 logbook Amsterdam (14, 27 June, 4-5 July 1633);
ARA 1.10.30/75 logbook Amsterdam (e.g. 26, 28 Feb, 1-2, 7, 12, 28 Mar, 1, 17, 26-27 Apr 1635); University
Library Leyden (UBL) BPL 127 E logbook Nieuw Amsterdam (e.g. 15 Jan, 9 Feb, 8 Apr, 8 June, 2 July 1636);
ARA 1.04.02/1120 logbook Banda (24 Feb, 7 Mar 1637). Other VOC logbooks from this period still lacked arc
measures of longitude; among these, some nevertheless contained references to the Plancius concept, such as ARA
1.04.02/1132 logbook Engel (9 Sept 1639), ibidem /1089 logbook Leijden (31 dec 1625, 12, 23 Jan 2, 19 Apr, 5,
10, 15 May 1626), and ibidem /1095 logbook Nassau (1 dec 1628).
23. Ten sampled logbooks from 1598-1600 of the Dutch Oude Oostindische Compagnie (one of the companies that
21
preceded the VOC) likewise reckoned from the Corvo meridian; ARA 1.04.01/51 Gelderland (1598-1600); ibidem
/62 Utrecht (1598-1600); ibidem /53 Vriesland/Zeelandia (1598-1600); ibidem /46 Amsterdam/Vriesland (159899); ibidem /44 Hollandia (1598-99); ibidem /43 Mauritius (1598-99); ibidem /60 Vriesland (1598-99); ibidem /54
Zeeland (1598-99); ibidem /45 Hollandia (1599); ibidem /60 Amsterdam (1599-1600).
24. Stevin, S. De Havenvinding. Leyden: 1599, passim; Stevin, S. Wisconstighe Ghedachtenissen. Leyden: 160508, pt. I, bk. 5, 164-74; Struik, Land of Stevin, 58; Davids, Zeewezen en Wetenschap, 72, 287; Dijksterhuis, E. J.
Simon Stevin: Science in the Netherlands around 1600. The Hague: 1943 and 1970, 77, 83, 91, 186-88; Davids,
"Finding Longitude", 283-84; Balmer, Beiträge, 128-33; Crone, Dijksterhuis, and Forbes, Principal Works, 253-54,
365, 368-72, 377-79. Stevin's 1599 Havenvinding contained the Plancius table, and appeared in Latin translation
(by Hugo de Groot) and in English (by Edward Wright) the same year; a Latin publication of Stevin's 1608 work on
mathematics (which incorporated an edited version of the 1599 treatise) was undertaken by Rudolf Snell(ius) van
Roijen, while a French translation by Albert Girard appeared in 1620. Thompson, William Gilbert, 7; Sarton, Six
Wings, 94; Taylor, E. G. R. Mathematical Practitioners of Tudor and Stuart England. Cambridge: 1954, 47; Waters,
D. W. The Art of Navigation in England in Elizabethan and Early Stuart Times. London: 1958, 229.
25. A trial at sea by the Amsterdam Admiralty in 1611 resulted in a negative report. Plancius's rationale was
moreover rejected by cartographers Hondius and Blaeu, the earlier-mentioned Haeyen and Robbertsz, and
mathematics professor Adriaen Metius (who did copy part of the Plancius table of observations, as did Anhaltin).
Hondius, J. Tractaet ofte Handelinge van het Gebruyck der Hemelsche en Aertschen Globe. Amsterdam: 1597, 5051; Haeyen, Een Corte Onderrichtinge Belanghende die Kunst vander Zeevaert. Amsterdam: 1600, 10, 16; Blaeu,
W. J. Licht der Zeevaart. Amsterdam: 1608, preface; Robbertsz, R. Numeratio: Het Eerste ABC der Tal-konst. n.p.
1612, preface, 16, backpage; Metius, A. Nieuwe Geographische Onderwysinghe . . . Franeker: 1614, 10-11, 43-44;
Anhaltin, Slot en Sleutel, 56; Muller, S. De Reis van Jan Cornelisz May naar de IJszee en de Amerikaansche Kust
1611-1612. Werken der Linschoten Vereniging 1 The Hague: 1909, 16; Davids, Zeewezen en Wetenschap, 76-77,
285-87, 313, 355; Davids, "Finding Longitude", 284-87; Crone, Dijksterhuis, and Forbes, Principal Works, 407-9;
Keuning, Petrus Plancius, 131-35; Naber, Reizen 1594-1597, xxii-iii, xxix-xxx, 51; Crone, "Aandeel van Simon
Stevin", 10.
26. Schilder, G., "Organization and Evolution of the Dutch East India Company's Hydrographic Office in the
Seventeenth Century." Imago Mundi 28 (1976), 61-65.
27. The first static geomagnetic longitude solution after 1635 (by Gabriel Grisly van Offenburg, in 1647) submitted
to a Dutch committee (VOC examiner of masters Cornelis Jansz Lastman, Joan Blaeu, and hydrographer Sybrand
Hansz Cardinael) was explicitly rejected because secular variation had not been accounted for; Dam, P. van.
Beschryvinge van de Oostindische Compagnie. ed. F. W. Stapel and C. W. Th. Baron van Boetzelaer van Asperen
en Dubbeldam. 7 vols. Rijks Geschiedkundige Publikatiën 63, 68, 74, 76, 83, 87, 96. The Hague: 1976, bk.1, II:
681; Davids, Zeewezen en Wetenschap, 77-80; Davids, "Finding Longitude", 288.
28. Gellibrand, H. A Discourse Mathematical on the Variation of the Magneticall Needle. London: 1635.
Neudrucke von Schriften und Karten über Meteorologie und Erdmagnetismus 9, ed. G. Hellmann. Berlin: 1897,
repr. Nendeln: 1969, 19; Fournier, Hydrographie, 415-16; Malin, S. R. C. and E. C. Bullard. "The Direction of the
Earth's Magnetic Field at London 1570-1975." Philosophical Transactions of the Royal Society A 299 (1981), 36466, 384-87; Mason, S. F. A History of the Sciences. New York: 1962, 253; McConnel, A. Geomagnetic Instruments
before 1900: An Illustrated Account of Their Construction and Use. London: 1980, 5; Feingold, M. The
Mathematicians' Apprenticeship: Science, Universities and Society in England, 1560-1640. Cambridge: 1984, 11;
Cotter, C. H. "Edmund Gunter (1581-1626)." Journal of the Institute of Navigation 34 (1981), 367; Goodman, D.
and C. A. Russell, eds. The Rise of Scientific Europe 1500-1800. Sevenoaks: 1991, 206-7; Malin, S. R. C.
"Historical Introduction to Geomagnetism." in Jacobs, J.A. (ed), Geomagnetism vol. 1, ed. J. A. Jacobs. London:
1987, 19-20; Taylor, E. G. R. The Haven-Finding Art. London: 1957, 232; Benjamin, P., The intellectual rise in
electricity: a history (New York, NY 1895), 447; Crombie, A. C. Styles of Scientific Thinking on the European
22
Tradition: The History of Argument and Explanation. 3 vols. London: 1994, 636; Sarton, Six Wings, 94; Taylor,
Tudor and Stuart England, 38, 62-63, 72-73.
29. The merchants category comprised the Dutch West India Compagnie, Middelburgsche Commercie Compagnie,
and some small private ventures.
30. Mörzer Bruyns, W. F. J. "Prime Meridians used by Dutch Navigators: A Survey of the Prime Meridians Used
by the Dutch for Navigation and Hydrography, prior to 1884." Vistas in Astronomy 28 (1985), 33; ARA
1.10.30/131 logbook Pauw (16 June 1640): "de lengte van 110.57 ofte naer 't oude gebruyck 123 gra. 57 min
becomen te hebben."
31. Archives Nationales, Paris (ANP) MAR 4JJ/144 logbook Witte Lam (1707-08).
32. The nine VOC journals using St. Jago are all kept in ANP MAR 4JJ/144; the eight by first mate Sipke Vis
concern an anonymous vessel (1660) and the ships Rijsende Son (1663), Casteel Rammekens (1664), Cogge
(1664), Lantsmeer (1664-65), Alphen (1665-66), Amersfoort (1667), and Vrijheijt (1670). Of these, only the
anonymous ship and the Amersfoort described voyages from and to patria. In addition, Sipke Vis also left journals
(under the same archival reference) from his intra-Asian travels aboard the Naarden (1662), Anckeveen (1662-63),
and Canae (1665), but none of these carried sufficient longitudinal data to determine which prime meridian was
used (and have thus been omitted from the sample). The other VOC log using St. Jago, from an unknown navigator,
is ANP MAR 4JJ/144 Bock (1672), travelling from Cochin to Batavia. Verweij's three voyages relative to Boavista
concern the ships Sint Loowis (1667), Sint Jan (1668), and Vergulden Arent (1668-69), in British Library, London
(BL) MS Sloane 3673.
33. Schilder, G., "Organization and Evolution", 61-67.
34. Latitude sailing is the method of making a desired latitude in good time on the open sea, and then heading east
or west on that parallel ("running down the latitude") until landfall is made.
35. Note, however, that a constant heading is not the same as a great circle course towards a destination (the shortest
route between points on a sphere).
36. Mörzer Bruyns, "Prime Meridians", 33.
37. Examples in ARA 1.04.02/1431, f.618 (1688), ibidem /1831, f.857 (1713), ibidem /1953, f.2053 (1722), ibidem
/2304, f.221 (1734), ibidem /2489, f.317 (1740), ibidem /2711, f.137 (1749), ibidem /3250, f.474 (1769), and
ibidem /2617, f.195 (1795).
38. It is tempting to associate a VOC clampdown on non-Tenerife meridians in the 1670s with the advent of Joan
Blaeu II (1673) as Company hydrographer, and/or with the new navigation equipment list of 1675. However, no
evidence to this effect has so far come to light.
39. Mörzer Bruyns, "Prime Meridians", 34; Schilder, G. and W. F. J. Mörzer Bruyns. "Navigatie." in Maritieme
Geschiedenis der Nederlanden 3. Bussum: 1977, 216.
40. Whitfield, P. The Charting of the Oceans: Ten Centuries of Maritime Maps. London: 1996, 74, 91. Longitudinal
scales for example on the chart of the East Indies (eastern part) in Doncker, H. Zee-atlas ofte water-waereld
Amsterdam: 1661; an example of Mercator projection is the "Nieuwe Pascaert van Oost Indien" in Keulen, J. van.
De Groote Nieuwe Vermeerderde Zee-Atlas ofte Water-Werelt . . . in Seer Nette Kaerten, Soo Platte als Wassende
Graden. Amsterdam: 1682. By the mid-eighteenth century, almost all van Keulen's charts used Mercator's
projection.
23
41. Doncker's originals, the most up to date sea atlas plates in the second half of the seventeenth century, were
blatantly copied by Goos, whose widow sold the publishing rights to Jacob Robijn. Johannes van Keulen in turn
bought Doncker's entire stock-in-trade in 1693, and inserted Goos's intoduction and index in a French edition of his
own sea atlas in 1680. Koeman, C. Atlantes Neerlandici: Bibliography of Terrestrial, Maritime, and Celestial
Atlases and Pilot Books, Published in the Netherlands up to 1880. vol. 4 Amsterdam: 1970, 154-197; Expositie
Amsterdamse Kaartmakers 1544-1975. Amsterdam: 1975, 17, 19, 25-26; Howse and Sanderson, Sea Chart, 60-61,
71; Schilder, G. "A Manuscript Sea Atlas, Drawn by Romeyn de Hooghe in 1681." Centro de Estudos de
Cartografia Antiga 130 (1981), 7.
42. Koeman, Atlantes Neerlandici, 4: passim. French competition by Bougard, R. Le Petit Flambeau de la Mer, ou
le Véritable Guide des Pilotes Côtiers. Havre de Grâce: 1684, was based on the author's voyage to the East Indies in
1682-83. It combined navigational instruction with 64 charts for coastal navigation from France to South Africa, and
went through 13 editions until 1817. English competition by chart sellers John Seller (1675, 1682, 1690), John
Thornton (1685, 1700), P. Lea (1700), and Mount & Page (1702, 1708) was usually entitled Atlas Maritimus or
Hydrographia Universalis; Pastoureau, M. "Les Atlas Imprimés en France avant 1700." Imago Mundi 32 (1980),
64; Anthiaume, A., "L'Enseignement de Science Nautique au Havre de Grâce pendant les XVIe, XVIIe et XVIIIe
Siècles." Bulletin de Géographie Historique et Descriptive 1-2 Paris: 1911, 19; Tooley, R. V. Maps and Mapmakers. 6th ed. London: 1978, 44, 61-62.
43. Fournier, Hydrographie, 425; Sanson, Atlas du Monde, 33.
44. Howse and Sanderson, Sea Chart, 12, 79; Whitfield, Charting of the Oceans, 82, 95-96; Raynaud-Nguyen, I.
"Longitudes and Meridians on French Charts of the Merditerranean in the 17th and 18th Centuries." Vistas in
Astronomy 28 (1985), 49-60; Pastoureau, "Les Atlas Imprimés", 65. The Neptune mainly contained charts by
hydrographers Saveur and de Chazelles, edited and published by Charles Pène in 1693. The same year, Alexis
Hubert Jaillot (Paris) and Dutch publisher Pierre Mortier had all plates re-engraved in Amsterdam for three pirate
editions in Dutch, English, and French.
45. It is unknown whether the chart was made by father de Bocage (the first professeur royal d'hydrographie in
Havre de Grâce from 1666) or son (author of Explication et usage d'une partie du cercle universel (Paris 1683,
1689, 1695). The chart was still in use in the 1720s as the master of the CDI's Lenguedocien (ANP MAR 4JJ/69)
asserted upon departure for the East in 1724: "me servant de la carte reduitte faite par Mr. de Bocage sur laquelle il
fait passée le p.re meridien a l'isle de Fer."
46. Raynaud-Nguyen, "Longitudes and Meridians", 49; Whitfield, Charting of the Oceans, 96. The French sample is
largely based on the Dépot's collections; the number of sampled logbooks can be seen to greatly increase from 1720.
47. In 1724 hydrographer père Feuillée (SJ) sailed to Ferro to determine the longitudinal distance between the isle
and the Paris Observatory, to which it was intended to transfer it; Raynaud-Nguyen, "Longitudes and Meridians",
55.
48. There appears to be no distinction in navigational practice as related in the following, between French Navy and
Compagnie des Indes (other than in destinations).
49. ANP MAR 4JJ/90 logbook Sirenne (7 May 1720); similar examples using Tenerife in ibidem /69 logbook
Africain (1724-25) and ibidem /66 logbook Henriette (1742); however, compare ibidem /48 logbook Victorieux
(1750), which identifies St. Jago as "meridien Hollandois".
50. The first (1698, BNP MS FR 21690, f.338) and third occurrence (1734, ANP MAR 3JJ/330 "Mer des Indes",
no. 15) stem from French sailing directions, rather than logbooks; the former even identified the VOC as source,
speaking of: "les veritables cartes de la compagnie de Hollande".
24
51. References to Pieter Goos can be found in ANP MAR 4JJ/74 logbook President (1687), ibidem /90 logbook
Jeux (1689), BL Add. MS 34246, logbook Patriarche (18 June 1706), ANP MAR 4JJ/47 logbook Toison d'Or (13
Jan 1708), ibidem /21 logbook Dromadaire (21 Apr 1721), ibidem /69 logbook Méduse (1725-26), ibidem /70
logbook Duc de Noailles (3 Jun 1728), ibidem /74 logbook Lys (4 May 1730), ibidem /11 logbook Rubis (1732),
ibidem /114 logbook Philibert (22 Apr 1734), ibidem /131 logbook Penthièvre (1738-39), ibidem /66 logbook
Henriette (1741) and logbook Aurore (1741-42), ibidem /71 logbook Vestale (22 Sept 1743), ANP MAR 3JJ/333
no. 13 logbook Les 13 Cantons (1749), and ANP MAR 4JJ/71 logbook Triton (1749-50). References to Van
Keulen reside in ANP MAR 4JJ/74 logbook Badine (2 Mar 1734), ibidem /61 logbook Dryade (1738), ibidem /65
logbook Astrée (1738-39), ibidem /115 logbook Fulvy (1741), ibidem /43 logbook Amérique (27 May 1750),
ibidem /34 logbook Parham (1753), and ibidem /48 logbook Victorieux (4 Sept 1758).
52. ANP MAR B4/7 logbook Vautour (1676-80); ANP MAR 4JJ/88 logbooks Diligent (1708-10), Chasseur
(1714-16), and Royal Philippe (1723-25).
53. ANP MAR 4JJ/7 logbook Aimable (1692); ibidem /69 logbook Annibal (1723); ibidem /34 logbook Amitié
(1730); ibidem /44 logbook Courier d'Orleans (1735).
54. ANP MAR 4JJ/90 logbook Jeux (1690-91); ibidem /89 logbook Maurepas (1736-38).
55. ANP MAR 4JJ/11 logbook Arc en Ciel (1687-88); ibidem /44 logbook Charente (1732-33); ibidem /11 logbook
Elephant (1729).
56. ANP MAR 4JJ/88 logbook Royal Philippe (1732-34); ibidem /115 logbook Fulvy (1741); ibidem /112 logbook
Argonaute (1730-31); ibidem /132 logbook Mars (1742-44). Compare the first Mercator chart of the Mediterranean
(1737, by the Marquis d'Albert, then head of the naval Dépot), which depicted parallel longitude scales relative to
Ferro, Paris, Tenerife, and London; Raynaud-Nguyen, "Longitudes and Meridians", 55.
57. Bellin, J.-N. Le Petit Atlas Maritime: Recueil de Cartes et Plans des Quatre Parties du Monde. 5 vols. Paris:
1764, 2-3. Actually, French hydrography had by this time already produced a number of high quality alternatives.
58. References to the naval charts in ANP MAR 4JJ/22 logbook Atalante (1749-50), ibidem /34 logbook Galatée
(1750), ibidem /86 logbook Bot le Favori (1756-57), and ibidem /92 logbook Condé (1768). The Count de
Maurepas was a French Minister of the Navy and Secretary of State.
59. D'Après was a navigator, captain, hydrographer, and from 1762 director of the Dépot de Tous les Journeaux,
Cartes et Plans Relatifs à la Navigation des Vaisseaux de la Compagnie des Indes. His successful Mémoire sur la
Navigation de France aux Indes (Paris: 1765) was reprinted in 1768, and translated into English the year after;
Haudrère, P. La Compagnie Française des Indes au XVIIIe siècle (1719-1795). Ph.D. thesis. Paris: 1989, 81;
Howse and Sanderson, Sea Chart, 103; Hoefer, Nouvelle Biographie Générale Paris: 1852-77, 2: 932.
60. ANP MAR 4JJ/87 logbook Gloire (16 Jan 1756).
61. Whitfield, Charting of the Oceans, 92; Howse and Sanderson, Sea Chart, 59. Among te most notable members
of the school were John Daniell, Nicholas Comberford, John Burston, John Thornton, and Joel Gascoyne.
62. The prize was obtained by captain Bartholomew Sharpe in the Trinity, upon taking the Spanish vessel Rosario
off Ecuador. Some fourteen manuscript copies of the English version are known. Tooley, Maps and Map-Makers,
52; Whitfield, Charting of the Oceans, 81-82, 92-93; Howse and Sanderson, Sea Chart, 65, 73.
63. Koeman, Atlantes Neerlandici, 4: 193; Howse and Sanderson, Sea Chart, 11-12, 65, 67. According to Tooley,
Maps and Map-makers, 53, Seller also copied from Dutch publishers de Wit, de Ram, Danckerts, Allard, and
25
Visscher.
64. Seventeen of Thornton's manuscript copies can be found in the BNP; among the other sources are marine
surveys of the Persian Gulf by Cornelis Cornelisz Roobacker (1645). Detailed descriptions in Roncière, M. de la.
"Manuscript Charts by John Thornton, Hydrographer of the East India Company (1669-1701)." Imago Mundi 19
(1965), 46-50. According to Whitfield, Charting of the Oceans, 93, it was Thornton's work which finally "killed" the
anachronistic manuscript chart tradition.
65. Rare English usage of Tenerife in geographical tables in Gellibrand, H. Epitome of Navigation. ed. E. Speidell.
London: 1698, tables.
66. Thornton, J. The English Pilot: The Third Book. London: 1703. Facs. introd. by C. Verner and R. A. Skelton.
Amsterdam: 1970, 15-16. Harrison, E. Idea Longitudinis: Being a Brief Definition of the Best Known Axioms for
Finding the Longitude. London: 1696, 4; Terrell, C. "The Adoption of the Greenwich Meridian by the British Map
Trade." Vistas in Astronomy 28 (1985) 211-14. The first English sea atlas uniformly graduated for both latitude and
Greenwich longitude (in Mercator projection) was The Atlantic Neptune (London: 1777) by marine surveyor Joseph
Frederick Wallet Des Barres, published for the Royal Navy at government expense.
67.Thornton, English Pilot, 29.
68. BL MS Sloane 3143, f.65.
69. Williams, J. E. D. From Sails to Satellites: The Origin and Development of Navigational Science. Oxford: 1992,
42-43; Cotter, C. H. "Nautical Astronomy and the Mercator Principle." Journal of the Institute of Navigation 29
(1976), 15.
70. Early EIC occurrences of meridian distance in India Office British Library, London (IOBL) L/MAR/A /29
logbook Charles (1619-20), ibidem /37 logbook Hart (1623), and ibidem /45 logbook William (1627). Late EIC
meridian distance in IOBL L/MAR/B /549 C logbook Anson (1751), ibidem /164 E logbook Onslow (1748), and
ibidem /320 E logbook Diligent (1759-60). Meridian distance in Royal Navy ships (only) in NMM DAR/8 logbook
Assistance (1673), Public Record Office, Kew (PRO) ADM 52/112 logbook Tyger Prize (1689-91), and ibidem
/309 logbook Tygar (1712). Early EIC arc measures of longitude in IOBL L/MAR/A /34 logbook Jonas (1621),
ibidem /29 logbook Charles (1623-24), and ibidem /42 logbook Falcon (1625).
71. Early occurrences in naval sources of the Greenwich meridian (global reckoning) in PRO ADM 52/484 logbook
Seahorse (1735-38), ibidem /531 logbook America (1748), and ibidem /557 logbook Centurion (1754-55). The
earliest Royal Navy voyage to the East Indies using Greenwich in the sample is ibidem /490 logbook South Sea
Castle (1760). Early instances of the Greenwich meridian (global reckoning) used on East Indiamen in IOBL
L/MAR/B /488 I logbook Greenwich (1776), ibidem /531 logbook Lively (1780-81), and ibidem /98 F logbook
Neptune (1780-81).
72. This may provide part of the reason why English East Indiamen sailed to India via East Africa, and were among
the last to exploit the advantages of a more southerly, oceanic passage along the "roaring forties" to the East.
26

Parallel meridians: Diffusion and change ... Hague: Walburg, pp.17-42. oceanic reckoning

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